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Huhnkie Lee
  • 6/5/2025
continuing with remainder matrix formula
Transcript
00:00:00Hello friends welcome to Humanology 2248.1 happy Wednesday evening yeah happy Wednesday evening
00:00:16so today I actually I did study well mathematics yeah that we made major discoveries so that part
00:00:28is done so I don't really need to study mathematics when I'm not doing the show so
00:00:35so instead I studied some criminal procedure the Alaska rules of criminal procedure I
00:00:46give you just like 80 pages long documents so I leave you like about 40 pages of it about half
00:00:52so actually that's not boring it was quite interesting actually okay yeah kind of like imagining
00:00:58like courtroom drama okay so yeah sure okay yeah and I went to Walmart and bought some like
00:01:11chopped mushrooms and frozen chopped onions and baby onions beans yeah though
00:01:20green peppers frozen chopped green bell peppers yeah in Japan Korea green bell pepper they call it
00:01:29Pima okay yeah why I don't know maybe it came from different foreign languages maybe maybe Spanish
00:01:38Portuguese Portuguese French I don't know okay now let's do some stretching yeah and I'm also putting some eggs
00:02:06eggs
00:02:15you
00:02:17you
00:02:19you
00:02:20you
00:02:21you
00:02:22you
00:02:23you
00:02:24okay
00:02:25okay
00:02:27and earlier today I had catfish oh they are so good yeah frozen catfish they're boiled in the water
00:02:34with ramen noodles oh yeah so good okay let's do stretching
00:02:45you
00:02:46you
00:02:48okay okay okay okay on slide
00:03:13okay done
00:03:17Yeah, also this morning I did running, so that's good.
00:03:47Oh, oh.
00:04:04Oh.
00:04:21Oh.
00:04:41Yeah, Alaska Lose of Criminal Procedure is very interesting.
00:04:56It has some reference to like, some like, Alaska Law Review, like journal articles.
00:05:06Alaska Law Review, because Alaska does not have a law school, is hosted by Duke University.
00:05:12Duke University, I think it's in North Carolina, I guess.
00:05:16Not sure.
00:05:17Southeast America, okay.
00:05:23Yeah, some citations, like court cases too.
00:05:29Interesting.
00:05:30Some legislative history.
00:05:33Yeah, like Session Law of Alaska, SLA, Supreme Court Opinion.
00:05:40Yeah, Alaska Rules of Criminal Procedures actually makes citations to those.
00:05:46Also, it's Alaska Statues as well.
00:05:49Very interesting.
00:05:50Also, in context of commentary too.
00:05:52Yeah.
00:05:53So, it's very interesting read.
00:05:54Yeah.
00:05:55It was not boring.
00:05:56Mm-hmm.
00:05:57It was nice.
00:06:03Yeah.
00:06:04Yeah.
00:06:05So, why did I study Alaska Rules of Criminal Procedure?
00:06:09Because I might get a job, interviews in those areas, and I want to be ready for the interview.
00:06:16All the interview questions, they're not going to ask those.
00:06:19But, by studying them, I would feel more confident when I do interviews and, you know, yeah.
00:06:28We make a big difference, you know?
00:06:29Yeah.
00:06:30To be like mentally ready, you know?
00:06:31Oh, yeah.
00:06:32To demonstrate that I'm a serious job candidate, you know?
00:06:33Yeah.
00:06:34Yeah.
00:06:35That's so cool.
00:06:36Okay.
00:06:37Okay.
00:06:38And this September, there's this like a class reunion for Michigan Law School.
00:06:44I'll try to attend it, okay?
00:06:45Yeah.
00:06:46They do that every five years.
00:06:48Yeah.
00:06:49Yeah.
00:06:50Yeah.
00:06:51Yeah.
00:06:52Yeah.
00:06:53Yeah.
00:06:54Yeah.
00:06:55Yeah.
00:06:56Yeah.
00:06:57Yeah.
00:06:58Yeah.
00:06:59Yeah.
00:07:00Yeah.
00:07:01Yeah.
00:07:02Yeah.
00:07:03Yeah.
00:07:04Yeah.
00:07:05Yeah.
00:07:06Yeah.
00:07:07Yeah.
00:07:08Yeah.
00:07:11Yeah.
00:07:13Yeah.
00:07:14Yeah.
00:07:15Okay.
00:07:30Okay.
00:07:32Let me turn off the stove for the bold eggs because I think it's bold.
00:08:02Let me turn off the stove.
00:08:32Let me turn off the stove.
00:08:39Let me turn off the stove.
00:08:47Let me turn off the stove.
00:08:54Let me turn off the stove.
00:09:02Let me turn off the stove.
00:09:09Let me turn off the stove.
00:09:24Let me turn off the stove.
00:09:31Let me turn off the stove.
00:09:32Okay?
00:09:33And the movie, The Cart?
00:09:35Yeah.
00:09:36That Korean movie.
00:09:37That I watched earlier today.
00:09:38Yeah.
00:09:39That part is kind of interesting.
00:09:40Yeah.
00:09:41I finished watching it.
00:09:46And then I started watching another Korean movie,
00:09:49What's Up on Time in Korea, okay?
00:09:52Yeah, kind of an action movie, I guess, okay.
00:10:08Okay, good, good.
00:10:11Now...
00:10:16Let's do martial arts, let's do close contact, okay?
00:10:26So, when opponent is very close, yeah, second do it, right?
00:10:30Yeah, like, knee, elbow, head butt, okay?
00:10:43Take care.
00:10:44Let's do it, okay.
00:10:47Mm, mm, mm, mm, mm, mm, mm, mm, mm, mm, mm, mm, mm.
00:10:52Ugh, ugh, ugh, ugh, ugh, ugh, ugh, ugh.
00:10:59Okay.
00:11:01Good exercise, five minutes breath please.
00:11:05Ooh.
00:11:07Wow.
00:11:10Let's do it.
00:15:45I'm running all of them.
00:15:48It's humid.
00:15:49Okay.
00:15:52Now let's continue with mathematics.
00:15:56Remain the matrix formula, one of which is basic coefficient formula.
00:16:09Okay.
00:16:11All right.
00:16:14Okay.
00:16:16Happy Wednesday.
00:16:20Yeah.
00:16:23Haha.
00:16:26So these days I've been studying mathematics for a long time and then in a long time got back
00:16:37to study of law.
00:16:39That was quite refreshing.
00:16:41Yeah.
00:16:42Okay.
00:16:47Okay.
00:16:53Cheers.
00:16:56Okay.
00:16:57Let's talk about.
00:16:58Let's take a break from mathematics a little bit.
00:16:59Okay.
00:17:00So in law school, civil procedure is a mandatory class.
00:17:04But criminal procedure is not a mandatory class.
00:17:06Okay.
00:17:07Why?
00:17:08Because they are similar.
00:17:09Okay.
00:17:10Okay.
00:17:11And to take bio exam, yes.
00:17:12I had to study criminal procedure as well.
00:17:13Okay.
00:17:14Yeah.
00:17:15I have some books about it.
00:17:16It's interesting.
00:17:17Yeah.
00:17:18Okay.
00:17:19Okay.
00:17:20Because what kind of law your job will I get?
00:17:21I don't know.
00:17:22I pretty much apply to every kind.
00:17:23So it could be in civil law.
00:17:24It could be in criminal.
00:17:25I don't know.
00:17:26I just need to be ready.
00:17:27Okay.
00:17:28Okay.
00:17:29Okay.
00:17:30Okay.
00:17:31Okay.
00:17:32Okay.
00:17:33Okay.
00:17:34Okay.
00:17:35Okay.
00:17:36So, it could be in civil law, it could be in criminal law, I don't know.
00:17:39I just need to be ready.
00:17:41Okay?
00:17:43Okay.
00:17:48I will apply to a job to be a magistrate judge.
00:17:52And some correction, okay, to be a superior court judge,
00:17:57it's not required that you will be a magistrate judge for like 3-4 years.
00:18:04It's not required, okay, so, yeah, it's just like, and versus or.
00:18:10It's like, yeah, either you graduate from law school, pass the Bible exam,
00:18:16or you've been a magistrate judge for 4 years, okay?
00:18:20Then, to be a superior court judge, something like that, okay, so.
00:18:23Okay, okay.
00:18:25Interesting.
00:18:27Yeah, okay.
00:18:29Yeah, we'll see what happens, okay, yeah.
00:18:31So, search, sure, yeah.
00:18:34Yeah.
00:18:35It's going pretty well, actually, okay?
00:18:37Yeah.
00:18:38Yeah.
00:18:39Okay.
00:18:40Yeah, I'm not concerned at all.
00:18:42All right.
00:18:43All right.
00:18:44Now.
00:18:45So, we did cancel for 1, 2, 3, column 1, 2, 3, now, column 4, 5, 6, so we're halfway through,
00:18:56basically, okay?
00:18:57Okay.
00:18:58Yeah.
00:18:59Yeah.
00:19:00Yeah.
00:19:01Yeah.
00:19:02Yeah.
00:19:03Okay.
00:19:04Okay.
00:19:05Nice.
00:19:06Okay, so, fourth column.
00:19:07Cheers.
00:19:08But, before we dive into fourth column, after we do this, okay, then what would be our next
00:19:31job?
00:19:32Next task?
00:19:33Yeah.
00:19:34To prove why this is the case, to prove it, and then after that, maybe you go back to
00:19:44like, Chinese random theorem, you know, and stuff.
00:19:51Uh, because, so, Bezu coefficient, that's like, the, uh, Dio-fant, linear Dio-fantin equation,
00:20:05with two variables, okay?
00:20:06With one equation.
00:20:08And, we can generalize that, and, so, like, AX plus BY, like, 2X plus 5Y is equal to 1.
00:20:19That's like, a Dio-fant, linear Dio-fantin equation with two variables, X and Y, okay?
00:20:30And Chinese remainder theorem, Chinese remainder problem is the linear Dio-fantin equation for
00:20:37four variables, okay?
00:20:41And they have the three equations, system of three equations, okay?
00:20:46So, and, so, in Bezu coefficient is linear Dio-fantin equation of just, system of just
00:20:56one equation, okay?
00:20:57And we can generalize that to two equations with three variables, X, Y, and Z.
00:21:02And then, from there, next generalization, next step, yeah, four variables with three equations, okay?
00:21:09So, that's the Chinese remainder problem, okay?
00:21:12And, uh, what we can do is, we can come up with general formula for those Dio-fantin, linear Dio-fantin equations, okay?
00:21:26After we are done with this, okay?
00:21:29I think that's the right thing to do, because it should be, it should not be too, too difficult to generalize that way.
00:21:37Yeah?
00:21:38Yeah, we can come up with, like, N's dimension, linear Dio-fantin equation, with N variables.
00:21:45Formula for that, okay?
00:21:46Yeah, sure.
00:21:47Okay.
00:21:48Mm-hmm.
00:21:49We can do that.
00:21:52Yeah.
00:21:53Cheers.
00:21:54Okay.
00:21:55Mm-hmm.
00:21:56Mm-hmm.
00:21:58Mm-hmm.
00:22:00Cheers
00:22:05Yeah, okay
00:22:30You
00:22:40Fourth column
00:22:50We will start by grouping the numbers we have fourth column, right?
00:22:58Okay
00:23:00You
00:23:09So
00:23:20Uh-huh
00:23:25Fourth column one
00:23:31Two three
00:23:43Four five
00:23:45And then six
00:23:56Okay
00:24:08So they're in the same columns, okay
00:24:10Uh, fourth column, well in fourth column, fourth column is just one same column, but first group in that column, just one at the fourth row, two at the fourth row, two at the fourth row,
00:24:27and four and fifth row, and four and five at the second row, and six at the second row, and six at the third row, okay?
00:24:44six at the sixth row, and six at the third row, okay?
00:24:51six at the third row, seven at the fourth column, and six at the third row, and six at the third row, and six at the third row.
00:25:00And we calculate rho i, rho index i, i rho 4, then you have 0, 1, and no, no.
00:25:300, 1, 1, yeah, 4th rho and 5th rho, okay, yeah, 1, rho 4, 1, 5, rho 4, 1, then next group, 2, and 6, 2, rho 4, 2, and 6,
00:26:00row 4 is also 2, next, 3, rho 4 is 3, okay, so,
00:26:12those are the groupings.
00:26:22And based on that, E means element of this matrix, 4th column, and i, rho,
00:26:50and i, rho, that element is equal to, and there is 4 groups, okay, yeah, like i, rho, 4 is equal to 1, is equal to 1, 0, 1, 2, 3, and you multiply these numbers just like this,
00:27:09so, if you want to come up with this, the occasion for 4th column, go for it, okay, yeah, let's take 5 minutes break.
00:27:16Okay, let me start cooking my dinner, actually, it's close to midnight, okay.
00:27:23Alright, 5 minutes break, thank you.
00:27:31Alright, thank you.
00:27:38Okay.
00:27:42Okay.
00:41:03Okay.
00:41:04Okay.
00:41:05Okay.
00:41:06Okay.
00:42:10Okay.
00:42:40Okay.
00:42:41So,
00:43:10I times...
00:43:11I times...
00:43:12I plus...
00:43:14I plus...
00:43:15I plus...
00:43:18I plus...
00:43:19I plus...
00:43:21I plus...
00:43:22I plus...
00:43:26I plus...
00:43:29Oh, that's that.
00:43:59Oh, cheers.
00:44:06Now, next, fifth column, okay?
00:44:18We'll do it right here.
00:44:26Uh-huh.
00:44:42Fifth column, one.
00:44:46This first group, two.
00:44:53The second group, three and four, third group.
00:45:08Three and four and then five.
00:45:15Okay, that's fourth group and six.
00:45:23Okay, fourth grouping.
00:45:35One group, fourth group, second group, and then third group, fourth group, and fifth group.
00:45:42Okay.
00:45:54And if you calculate, I row five, I row five is zero, three.
00:46:05One, one, then two.
00:46:12I don't know.
00:46:17I row five, okay, four and two.
00:46:32Okay, four and two.
00:46:39Okay.
00:46:41To group this, zero, three, one, four, two.
00:46:51Boo.
00:46:52Boo.
00:46:53Okay.
00:46:54Yeah.
00:46:55Booyah!
00:46:58So this is I row five.
00:47:14Okay.
00:47:16Based on this, if you want to.
00:47:21Design function for fifth column.
00:47:29Yeah.
00:47:30Fifth column, that's like a rebellious group in science fiction.
00:47:35Okay.
00:47:36Yeah.
00:47:37But this one is not rebellious.
00:47:39Okay.
00:47:40It's just fifth column.
00:47:45Okay.
00:47:46You have to design functions for the fifth column.
00:47:51Okay.
00:47:52Just like that.
00:47:53Yeah.
00:47:54Go for it.
00:47:55Okay.
00:47:56Yeah.
00:47:57Hint.
00:47:58Maybe like this.
00:48:04I row five is equal to zero.
00:48:07And then I row five is equal to three.
00:48:11And then I row five is equal to one.
00:48:14And then I row five is equal to four.
00:48:16And then I row five is equal to two.
00:48:19So it's not like one, two, three, four.
00:48:21No, it's not like that.
00:48:22Okay.
00:48:23So here it is a one, three, one, four, two.
00:48:27Okay.
00:48:28Yeah.
00:48:29Here it happens to be just one, two, three.
00:48:31Zero, one, two, three.
00:48:32But it's not always in sequence like that.
00:48:35Okay.
00:48:36So.
00:48:37Yeah.
00:48:42Yeah.
00:48:43Not an obvious pattern.
00:48:44But later on, I'll explain to you the actual pattern behind it.
00:48:50Okay.
00:48:51It took me a while to figure it out.
00:48:52Okay.
00:48:53So.
00:48:54But it's not too difficult.
00:48:55Okay.
00:48:56Yeah.
00:48:57So if you want to design this one, yeah, go for it.
00:48:58Okay.
00:48:59Yeah.
00:49:00Okay.
00:49:01Now time check.
00:49:07It's been less, it's been less than one hour.
00:49:10Okay.
00:49:12Okay.
00:49:13Yeah.
00:49:14Five minutes break.
00:49:26And there we go.
00:49:27Okay.
00:49:30Let me continue to cook my demo.
00:54:46Once we figure it out, it's easy, right?
00:54:53Yeah.
00:54:55So difficult part is done.
00:54:57Okay?
00:54:57Yeah.
00:54:57Now it's easy.
00:54:58Now it's easy.
00:55:00Okay.
00:55:02This is equal to...
00:55:05Let's start from up here, okay?
00:55:08I, I...
00:55:09I, so...
00:55:12I...
00:55:14I...
00:55:14I...
00:55:15I...
00:55:17I...
00:55:18I...
00:55:19plus 7 times 0 over 5...
00:55:21I...
00:55:22I...
00:55:22I...
00:55:22I...
00:55:23I...
00:55:23I...
00:55:26plus
00:55:31now
00:55:39i row 5 is equal to 3.
00:55:43So it's not like in sequence. It's not like 0, 1, 2, 3, 4.
00:55:46Only in this case and some other cases, but it's not like that, okay?
00:55:50In general. So now it's i row 5 is equal to 3.
00:55:55Okay. Then, this one is in sequence.
00:56:01Yes, 7 times 1.
00:56:06Because, okay, group 1, 7 times 0, plus 7 times 0.
00:56:11Group 2, plus 7 times 1.
00:56:15Group 3, plus 7 times 2, okay?
00:56:19That one is in sequence.
00:56:22Okay.
00:56:29One.
00:56:29Next group.
00:56:42I row 5 is equal to 4.
00:56:45Next.
00:56:57I row 5 is equal to 2.
00:57:00Okay.
00:57:17Good.
00:57:17Mm-hmm.
00:57:20Now I'm getting hungry.
00:57:22Okay, but we have one more case left, okay?
00:57:35Yeah.
00:57:38Cheers.
00:57:38Now let's take a break for mathematics a little bit.
00:57:50Yeah.
00:57:50So, uh, that Korean, um,
00:57:55Royal culinary art,
00:57:57Gungjung Yori, uh, yeah, the Shin Seolob.
00:58:00That was very inspiring because, uh, it's kind of like a buffet, okay?
00:58:03So, these days I cook three plastic jars in the microwave, okay?
00:58:10One of, because I used to cook only two, okay?
00:58:13So, these days, one of them is just meat.
00:58:16Sometimes we do ramen noodle, okay?
00:58:19Second one is rice, and third one is vegetables.
00:58:22Boiled vegetables.
00:58:24In a way, the vegetables are not too fully boiled, not too too much boiled.
00:58:29So, they're still like chewy, crunchy.
00:58:32Yeah, oh, it was fantastic, okay?
00:58:34Earlier today, and, uh, yeah.
00:58:39Because I used to cook vegetables and meat together,
00:58:43and for meat, I cooked for a long time for the meat to be fully cooked.
00:58:49Then, vegetables become too mushy.
00:58:51Now, I separate vegetable jars and meat jars.
00:58:56There were plastic jars.
00:58:57Now, vegetable jars, uh, I don't cook too too much.
00:59:00So, that is too chewy and, uh, kind of adiente, meaning it's crunchy, okay?
00:59:08That's very good, okay?
00:59:10So, the dietary fiber is kind of like still there, okay?
00:59:16Yeah, a lot better.
00:59:18Okay, let's do, start the number six case.
00:59:23Then, we'll take five minutes, okay?
00:59:29Now, let me take on my genome.
00:59:38Okay.
00:59:50Cheers.
00:59:55Okay.
01:00:00Sixth row.
01:00:03I mean, six column.
01:00:04Oh.
01:00:09We gotta group them first.
01:00:10We gotta group them first.
01:00:23One.
01:00:28Okay.
01:00:30Two.
01:00:32Three.
01:00:33Four.
01:00:35Five.
01:00:37Six.
01:00:37Six.
01:00:37Okay.
01:00:41And.
01:00:45I roll.
01:00:48Six.
01:00:56Is zero.
01:00:59Five.
01:01:01Four.
01:01:02Four.
01:01:05Three.
01:01:07Two.
01:01:09One.
01:01:11Okay.
01:01:16Yeah, it's kind of symmetric.
01:01:17Okay.
01:01:17Now, based on this, if you want to design
01:01:20function for E, I.
01:01:29Six.
01:01:30Six column, okay?
01:01:34Uh, it will be like, I roll five is equal to zero, then is equal to five, then four, three, two, one.
01:01:45Okay?
01:01:46All right.
01:01:46All right.
01:01:48Five is break.
01:01:50Let me then select the room.
01:01:54Okay, and time check.
01:01:58Look, it's been one hour, more than one hour.
01:02:03Yeah.
01:02:03Yeah.
01:02:06We are on schedule.
01:02:10Okay.
01:02:14All right.
01:02:15Five is, thank you.
01:02:22Let me grab some water.
01:02:23Bye-bye.
01:02:24Bye-bye.
01:02:24Bye-bye.
01:02:25Bye-bye.
01:02:25Bye-bye.
01:02:26Bye-bye.
01:02:26Bye-bye.
01:02:26Bye-bye.
01:02:27Bye-bye.
01:02:27Bye-bye.
01:02:28Bye-bye.
01:02:28Bye-bye.
01:02:28Bye-bye.
01:02:28Bye-bye.
01:02:29Bye-bye.
01:02:29Bye-bye.
01:02:29Bye-bye.
01:02:29Bye-bye.
01:02:30Bye-bye.
01:02:30Bye-bye.
01:02:31Bye-bye.
01:02:31Bye-bye.
01:02:32Bye-bye.
01:02:33Bye-bye.
01:02:34Bye-bye.
01:02:34Bye-bye.
01:02:34Bye-bye.
01:02:35Bye-bye.
01:02:35Bye-bye.
01:02:36Bye-bye.
01:02:36Bye-bye.
01:02:36Bye-bye.
01:02:37Bye-bye.
01:02:37Bye-bye.
01:02:38Bye-bye.
01:02:38Bye-bye.
01:02:39Bye-bye.
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01:10:29Oh
01:10:35Yeah
01:10:41Well before that let's talk about school reunion so uh
01:10:48once I get a new lawyer job and
01:10:51If they approve if my employer new employers approve my about four days leave in September
01:10:59then I will participate to law school class reunion
01:11:05they invite like
01:11:07every five years okay so this year uh the
01:11:13graduates from Michigan law school
01:11:18of the year that ends with five or zero so I'm the class of 2015 okay so we get invited by every five years okay so
01:11:27uh
01:11:30I hope uh you get approved my leave get approved over four days and uh
01:11:36just here it probably will okay so then uh yeah uh
01:11:41I participate of low school class reunion it'll be interesting yeah
01:11:45yeah but I've never been to class reunion before okay
01:11:50yeah very interesting
01:11:53uh most likely many of my former classmates probably are married with children okay nice
01:12:00uh yeah yeah it'll be interesting yeah sure
01:12:05okay okay we'll see what happens okay hopefully get approved yeah
01:12:13my full full day leave yeah sure we'll see now let's do this okay
01:12:18yeah
01:12:23I root 6 is equal to 0
01:12:37I root 6 is equal to 5
01:12:39yeah
01:12:46yeah we are circling around
01:12:48seven uh one time that's why we have seven times one here okay
01:12:54and next group uh circling around the seven like twice okay yeah
01:12:58that's why we do seven times two
01:13:07that's why we do seven times two
01:13:12that's why we do seven times two
01:13:20uh
01:13:45one more
01:13:50one more
01:13:55okay
01:13:56there we are done
01:13:59oh good
01:14:01okay
01:14:04now tomorrow
01:14:06we'll uh i'll explain to you uh how to uh formulate this like uh
01:14:12uh
01:14:14inside of the iverson we have like zero two one and then uh zero one two three and zero three one four two
01:14:26and then zero five four three two one right that uh sequence of numbers uh that pattern uh
01:14:36uh i explained that tomorrow because that's quite elaborate and complicated but not too too much
01:14:45okay yeah because uh we need a whole other whiteboard for that
01:14:51okay yeah now let's take five minutes break
01:14:54and then uh we'll talk about something else okay yeah cheers nice
01:15:00very cool
01:15:03very cool yeah my tino is about ready
01:15:10uh-huh
01:15:13there we go
01:15:14uh-huh
01:15:30you